Information on Result #650403
Linear OA(3221, 100, F32, 13) (dual of [100, 79, 14]-code), using construction X applied to AG(F,83P) ⊂ AG(F,85P) based on
- linear OA(3220, 97, F32, 13) (dual of [97, 77, 14]-code), using algebraic-geometric code AG(F,83P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3218, 97, F32, 11) (dual of [97, 79, 12]-code), using algebraic-geometric code AG(F,85P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3274, 1125, F32, 27) (dual of [1125, 1051, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32100, 32869, F32, 27) (dual of [32869, 32769, 28]-code) | [i] | ||
| 3 | Linear OA(3272, 1124, F32, 26) (dual of [1124, 1052, 27]-code) | [i] | ||
| 4 | Linear OA(3297, 32868, F32, 26) (dual of [32868, 32771, 27]-code) | [i] | ||
| 5 | Linear OA(3274, 1127, F32, 27) (dual of [1127, 1053, 28]-code) | [i] | ||
| 6 | Linear OA(32100, 32871, F32, 27) (dual of [32871, 32771, 28]-code) | [i] | ||
| 7 | Linear OA(32101, 32876, F32, 27) (dual of [32876, 32775, 28]-code) | [i] | ||
| 8 | Linear OA(3272, 1127, F32, 26) (dual of [1127, 1055, 27]-code) | [i] | ||
| 9 | Linear OA(3297, 32871, F32, 26) (dual of [32871, 32774, 27]-code) | [i] | ||
| 10 | Linear OOA(3221, 50, F32, 2, 13) (dual of [(50, 2), 79, 14]-NRT-code) | [i] | OOA Folding | |